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Finding the Fourth Proportional to 76,811.36, 106,000.11 and 42,822

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Solution

The fourth proportional to 76,811.36, 106,000.11 and 42,822 is: 59,094.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,811.36 : 106,000.11 = 42,822 : x
  2. Step 2: Convert to fraction form
    76,811.36/106,000.11 = 42,822/x
  3. Step 3: Cross multiply
    76,811.36x = 106,000.11 × 42,822
  4. Step 4: Simplify right side
    76,811.36x = 4,539,136,710.42
  5. Step 5: Solve for x
    x = 4,539,136,710.42/76,811.36
  6. Step 6: Final answer
    x = 59,094.61

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